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Math Help - Intermediate algebra, rational equations challenging word problem ESCALATOR

  1. #1
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    Intermediate algebra word problem

    HI

    we are studying rational expressions and have this problem to figure out.

    a man is walking up an escalator which is travelling at one step a second and has 30 steps. He is going up at his own speed.
    upon reaching the top he realizes that he needs to go back down. The time is takes him to go down is twice the time it takes him to go up.
    what is his speed?

    any and all help is appreciated.

    kind regards
    Brad
    Last edited by revolvingsound; October 13th 2010 at 08:51 PM. Reason: solved
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  2. #2
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    Well, if you solved it tells us what the solution is! Don't keep us in suspense!
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  3. #3
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    THANK YOU ALL but i didnt get an answer already...see below
    If x stands for the man’s speed, then 30 ÷ (x 1) is the time in seconds for the trip up. (The escalator added to his speed.) And 30 ÷ (x - 1) is the time for the trip down. (The escalator slowed his progress.)

    We know that the trip down took twice as long as the trip up, so two times 30 ÷ (x 1) equals 30 ÷ (x - 1). Now we can solve for X

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